Module 7: Introduction to Signals and Systems

Lectures & Content

Folder description

Please click the folder link above to access the Module 7 instructional content. Module 7 contains 12 video lectures that present the following topics:

Block Diagrams, Convolution and the Time Domain (7A)
BIBO (7B)
First Order Linear ODE Sinusoidal Input (Example 1)
Block Diagrams and Laplace Transforms (7C)
Complex and Real ODEs (Example 2)
Laplace, Convolution and Eigenfunctions (7D)
Poles and Zeros (7E)
General Solution for 1st Order ODE with Sinusoidal Input (Example 3)
Simple Example for 1st Order ODE, pt1 (Example 4)
Op Amp with Feedback (7F)
Simple Example for 1st Order ODE, pt2 (Example 5)
Artificial Pancreas and Control (7G)

Technical

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Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

By the end of this module, you will be able to:

Explain how Laplace Transforms connect to Convolution and Eigenfunctions.
Apply the Laplace Transforms to solve simple problems of control.
Define Poles and Zeros and their use in visualizing solutions.
Describe how an Op Amp is improved with feedback.
Apply block diagrams for systems analysis.
Describe the control problem for the artificial pancreas.
Apply ideas from first order differential equations to Laplace Transforms.

How to Complete This Module:

View lectures 7A-7G and Examples 1-5.
Complete the assigned reading to supplement the material presented in the lectures.
Participate in the module discussion.
Complete and submit the module assignment.
Complete the required entry in your personal learning journal.

Technical

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Readings

Cell description

This week's reading assignment includes the following:

Text Books

Astrom, J. K. & Murray, R.M. (2008).Feedback systems: An introduction for scientists and engineers. Princeton, NJ: Princeton University Press.Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page
- Review: Chapters 1-4
Chaparro, L. (2014). Signals and systems using MATLAB (2nd ed.). Academic Press.
- Chapter 6

EReserves

Huyett, L. M., Dassau, E. Zisser, H.C., and Doyle, III, F.J. (n.d.) Design and evaluation of a robust PID controller for a fully implantable artificial pancreas. Industrial & Engineering Chemistry Research. DOI: 10.1021/acs.iecr.5b01237.

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Module 7 Discussion Participation GuidelinesQuestion:

Cell description

Discussion forum rubric: 625.260 Discusssion Rubric

Participation Guidelines

Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.

Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.

There is one discussion thread in this module. Submit your posts by clicking on the "Module 7 Discussion" link above and creating a new thread. Please contribute to the class discussion with your discussion about:

Question:

Thread 7.1

Have you worked with Poles and Zeros before?
Would you let Doyle and his team move immediately to people, why or why not?
Give an example of a control problem that you found and its solution by Laplace transforms.

For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.

Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.

You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.

Required Activity: 1 Original Post / 2 Responses Due by: Original Post 11:59PM Day 4, Responses 11:59PM Day 7

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Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 7 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <p style=\"margin-left: 30px;\"><strong style=\"font-size: 13px;\">Thread 7.1</strong></p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li style=\"font-size: 13px;\">Have you worked with Poles and Zeros before?</li> \n  <li style=\"font-size: 13px;\">Would you let Doyle and his team move immediately to people, why or why not?</li> \n  <li style=\"font-size: 13px;\">Give an example of a control problem that you found and its solution by Laplace transforms.</li> \n </ul> \n <p style=\"margin-left: 30px;\">For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p style=\"margin-left: 30px;\">Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p style=\"margin-left: 30px;\">You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n <br> \n</div>\n  </div>\n\n <div id=\"_5740792_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 7 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <p style=\"margin-left: 30px;\"><strong style=\"font-size: 13px;\">Thread 7.1</strong></p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li style=\"font-size: 13px;\">Have you worked with Poles and Zeros before?</li> \n  <li style=\"font-size: 13px;\">Would you let Doyle and his team move immediately to people, why or why not?</li> \n  <li style=\"font-size: 13px;\">Give an example of a control problem that you found and its solution by Laplace transforms.</li> \n </ul> \n <p style=\"margin-left: 30px;\">For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p style=\"margin-left: 30px;\">Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p style=\"margin-left: 30px;\">You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n <br> \n</div>\n  </div>\n\n <div id=\"_5740792_1previewModule\" class=\"moduleSample\">\n </div>\n",
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file_1.pdf
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Quiz 2

Cell description

Please download the attachment to view Quiz 2, which consists of three problem sets that you should work through and submit.

***Please note that this is a timed assessment and that you should submit the quiz within 3 hours of accessing the quiz file attachment.***

Follow the general guidelines below to complete and submit the quiz.

Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.
At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)
Submit your answers in PDF (.pdf) format by uploading to Blackboard using the "Quiz 2" link above.

Required Activity: Submit answers to Quiz 2 Due by: 11:59 PM Day 7

Technical

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file_1.pdf
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Module 7 Assignment

Cell description

In this module, you will complete the problem sets listed below as an assignment:

Chaparro: problems 6.10, 6.11

Follow the general guidelines below to complete and submit the assignment.

Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.
At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)
Submit your answers in PDF (.pdf) format by uploading to Blackboard using the "Module 7 Assignment" link above.

Required Activity: Submit answers to the problem sets. Due by: 11:59 PM Day 7

Technical

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        "url": "https://blackboard.jhu.edu/webapps/assignment/uploadAssignment?content_id=_5740794_1&course_id=_169707_1&group_id=&mode=view",
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}

Module 7 Personal Learning Journal

Cell description

In your learning journal entries for this week comment about:

Control problems and their solutions with Laplace Transforms: do you have examples that you'd like to understand better?
Work more on your project ideas and how they might best be implemented.

Click on the “Module 7 Personal Learning Journal” above to access your journal and create your entry.

Required Activity: Create a reflective personal journal entry post in response to the prompts given.Due by: 11:59 PM Day 7

Technical

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    "json": {
        "kind": "Journals",
        "html": "\n\n<img alt=\"Journals\" src=\"/images/ci/sets/set01/journal_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740795_1\">\n\n <h3 id=\"anonymous_element_18\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740795_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 7 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740795_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 7 Personal Learning Journal\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\">In your learning journal entries for this week comment about:</p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li style=\"font-size: 13px;\">Control problems and their solutions with Laplace Transforms: do you have examples that you'd like to understand better?</li> \n  <li style=\"font-size: 13px;\">Work more on your project ideas and how they might best be implemented.</li> \n </ul> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\">Click on the “Module 7 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given.<br><span style=\"text-decoration: underline;\">Due by</span>: 11:59 PM Day 7</p> \n <br> \n</div>\n  </div>\n\n <div id=\"_5740795_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740795_1&mode=view",
        "title": "Module 7 Personal Learning Journal"
    },
    "html": "\n\n<img alt=\"Journals\" src=\"/images/ci/sets/set01/journal_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740795_1\">\n\n <h3 id=\"anonymous_element_18\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740795_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 7 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740795_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 7 Personal Learning Journal\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\">In your learning journal entries for this week comment about:</p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li style=\"font-size: 13px;\">Control problems and their solutions with Laplace Transforms: do you have examples that you'd like to understand better?</li> \n  <li style=\"font-size: 13px;\">Work more on your project ideas and how they might best be implemented.</li> \n </ul> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\">Click on the “Module 7 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given.<br><span style=\"text-decoration: underline;\">Due by</span>: 11:59 PM Day 7</p> \n <br> \n</div>\n  </div>\n\n <div id=\"_5740795_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740795_1&mode=view",
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        "title": "Module 7 Personal Learning Journal",
        "body": "\n    <div> \n <p>In your learning journal entries for this week comment about:</p> \n <ul> \n  <li>Control problems and their solutions with Laplace Transforms: do you have examples that you'd like to understand better?</li> \n  <li>Work more on your project ideas and how they might best be implemented.</li> \n </ul> \n <p>Click on the “Module 7 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p><span>Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given.<span>Due by</span>: 11:59 PM Day 7</p> \n  \n</div>\n  "
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